7x^2+8x-3y+7=0 eching

$$7 x ^ { 2 } + 8 x - 3 y + 7 = 0$$

y uchun yechish

$$y=\frac{7x^{2}+8x+7}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 7x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$8x-3y+7=-7x^{2}$$

Ikkala tarafdan 8x ni ayirish.

$$-3y+7=-7x^{2}-8x$$

Ikkala tarafdan 7 ni ayirish.

$$-3y=-7x^{2}-8x-7$$

Ikki tarafini -3 ga bo‘ling.

$$\frac{-3y}{-3}=\frac{-7x^{2}-8x-7}{-3}$$

-3 ga bo'lish -3 ga ko'paytirishni bekor qiladi.

$$y=\frac{-7x^{2}-8x-7}{-3}$$

-7x^{2}-8x-7 ni -3 ga bo'lish.

$$y=\frac{7x^{2}+8x+7}{3}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{21y-33}-4}{7}$$

$$x=\frac{-\sqrt{21y-33}-4}{7}$$

x uchun yechish

$$x=\frac{\sqrt{21y-33}-4}{7}$$

$$x=\frac{-\sqrt{21y-33}-4}{7}\text{, }y\geq \frac{11}{7}$$